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Finding the Fourth Proportional to 6,644.40, 9,964.80 and 1,964.40

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Solution

The fourth proportional to 6,644.40, 9,964.80 and 1,964.40 is: 2,946.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.40 : 9,964.80 = 1,964.40 : x
  2. Step 2: Convert to fraction form
    6,644.40/9,964.80 = 1,964.40/x
  3. Step 3: Cross multiply
    6,644.40x = 9,964.80 × 1,964.40
  4. Step 4: Simplify right side
    6,644.40x = 19,574,853.12
  5. Step 5: Solve for x
    x = 19,574,853.12/6,644.40
  6. Step 6: Final answer
    x = 2,946.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.